575Varahamihira produces Pancasiddhantika (The Five Astronomical Canons). He makes important contributions to trigonometry.

594
Decimal notation is used for numbers in India. This is the system on which our current notation is based. (See this History Topic.)

628Brahmagupta writes Brahmasphutasiddanta (The Opening of the Universe), a work on astronomy; on mathematics. He uses zero and negative numbers, gives methods to solve quadratic equations, sum series, and compute square roots.

About 700
Mathematicians in the Mayan civilization introduce a symbol for zero into their number system. (See this History Topic.)

About 775Alcuin of York writes elementary texts on arithmetic, geometry and astronomy.

About 810
House of Wisdom set up in Baghdad. There Greek and Indian mathematical and astronomy works are translated into Arabic.

About 810Al-Khwarizmi writes important works on arithmetic, algebra, geography, and astronomy. In particular Hisab al-jabr w'al-muqabala (Calculation by Completion and Balancing), gives us the word "algebra", from "al-jabr". From al-Khwarizmi's name, as a consequence of his arithmetic book, comes the word "algorithm".

About 850Thabit ibn Qurra makes important mathematical discoveries such as the extension of the concept of number to (positive) real numbers, integral calculus, theorems in spherical trigonometry, analytic geometry, and non-euclidean geometry.

About 850Thabit ibn Qurra writes Book on the determination of amicable numbers which contains general methods to construct amicable numbers. He knows the pair of amicable numbers 17296, 18416.

850Mahavira writes Ganita Sara Samgraha. It consists of nine chapters and includes all mathematical knowledge of mid-ninth century India.

900Sridhara writes the Trisatika (sometimes called the Patiganitasara) and the Patiganita. In these he solves quadratic equations, sums series, studies combinations, and gives methods of finding the areas of polygons.

About 900Abu Kamil writes Book on algebra which studies applications of algebra to geometrical problems. It will be the book on which Fibonacci will base his works.